LCM of 414, 414, 983, 611, 899
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 414, 414, 983, 611, 899 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 414, 414, 983, 611, 899. So, keep reading to learn more.
Given numbers are 414,414,983,611,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 414,414,983,611,899 is 223539750018.
Find LCM of 414,414,983,611,899 with Prime Factorization
| 2 | 414, 414, 983, 611, 899 |
| 3 | 207, 207, 983, 611, 899 |
| 3 | 69, 69, 983, 611, 899 |
| 23 | 23, 23, 983, 611, 899 |
| 1, 1, 983, 611, 899 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 23 x 1 x 1 x 983 x 611 x 899 = 223539750018
Therefore, the lowest common multiple of 414,414,983,611,899 is 223539750018.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
414 x 414 x 983 x 611 x 899 = 92545456507452
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
983 : 1, 983
611 : 1, 13, 47, 611
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,414,983,611,899, is 1.
Now, the common factors can be found like this.
414:2x 3x 3x 23
414:2x 3x 3x 23
983:983
611:13x 47
899:29x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 23 = 414
Therefore, the value for common factors is 414.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 92545456507452/(1x414)
LCM = 92545456507452/414
LCM = 223539750018
Thus, we can understand that the LCM of 414,414,983,611,899 is 223539750018.
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FAQs on LCM of 414, 414, 983, 611, 899
1. What is the LCM of 414, 414, 983, 611, 899?
Answer: LCM of 414, 414, 983, 611, 899 is 223539750018.
2. How to calculate the LCM of 414, 414, 983, 611, 899?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 414, 414, 983, 611, 899.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.